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Finding the Fourth Proportional to 153,314.70, 229,972.05 and 40,994.70

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Solution

The fourth proportional to 153,314.70, 229,972.05 and 40,994.70 is: 61,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.70 : 229,972.05 = 40,994.70 : x
  2. Step 2: Convert to fraction form
    153,314.70/229,972.05 = 40,994.70/x
  3. Step 3: Cross multiply
    153,314.70x = 229,972.05 × 40,994.70
  4. Step 4: Simplify right side
    153,314.70x = 9,427,635,198.14
  5. Step 5: Solve for x
    x = 9,427,635,198.14/153,314.70
  6. Step 6: Final answer
    x = 61,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.